Part 5: Use the information provided to write the vertex formula equation of each parabola. Please show the work.

1. x = y^2 + 2y - 3

2. y = x^2 + 18x + 76

3. x^2 + 16x + 64

4. x= y^2 + 20y + 90

4.

3.

2.

1.

Step-by-step explanation:

To do this, you must perform the complete the square method This formula will help us with our Vertex Equations when determining differences\sums of results in our C-values, which then get converted to finding our k-values in the Vertex Equation:

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 1.  x = (y + 1)² - 4

               2.  y = (x + 9)² - 5

               3.  y = (x + 8)²

              4.  x = (y + 10)² - 10

Step-by-step explanation:

Complete the square by dividing the x-value by 2, squaring it, and adding that value to both sides of the equation.

1) x = y² + 2y - 3

2) y = x² + 18x + 76

3) y = x² + 16x + 64

4) x = y² + 20y + 90

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.